Classification of pointed fusion categories of dimension p(3) up to weak Morita Equivalence

Maya Kevin; Mejia Castano Adriana; Uribe Bernardo

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Classification of pointed fusion categories of dimension p(3) up to weak Morita Equivalence

机译：尺寸P（3）尺寸融合类别的分类，直至弱森塔

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摘要

We give a complete classification of pointed fusion categories over C of global dimension p3 for p any odd prime. We proceed to classify the equivalence classes of pointed fusion categories of dimension p3 and we determine which of these equivalence classes have equivalent categories of modules.

机译：我们给出了任意奇数素数p的全局维数p3的C上的点融合范畴的一个完整分类。我们继续对p3维的点融合范畴的等价类进行分类，并确定其中哪些等价类具有等价的模范畴。

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来源
《Journal of algebra and its applications》 |2021年第1期|共23页
作者
Maya Kevin; Mejia Castano Adriana; Uribe Bernardo;
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作者单位

Univ Norte Dept Matemat &

Estadist Km 5 Via Antigua Puerto Colombia Barranquilla Colombia;

Univ Norte Dept Matemat &

Estadist Km 5 Via Antigua Puerto Colombia Barranquilla Colombia;

Univ Norte Dept Matemat &

Estadist Km 5 Via Antigua Puerto Colombia Barranquilla Colombia;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Tensor category; pointed fusion category; weak Morita equivalence;

机译：张量类;指向融合类别;弱森岛等价;

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13. Transfinite Classification of Weakly-Infinite Dimensional Spaces [R] . Borst, P. 1985

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Classification of pointed fusion categories of dimension p(3) up to weak Morita Equivalence

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